Algebra Puzzle – Challenge 35
Want to improve your logic and critical thinking? Have a look at this great math puzzle. Let's tease your brain!
Challenge:
The ratio of the ages of Eric and Tara is 2 to 3 and the ratio of the ages of Tara and Marshall is 9 to 7. If the sum of their ages is 66, then how old is Eric?
The Absolute Best Book to challenge your Smart Student!
The correct answer is 18.
Let E be the age of Eric, T be the age of Tara and M be the age of Marshall.
E + T + M = 66
The ratio of E to T is 2 to 3. So:
\(E = \frac{2}{3} T\)
The ratio of T to M is 9 to 7. So:
\(M = \frac{7}{9} T\)
Replace the value of E and M in the first equation with their values in the second and third equations:
\(\frac{2}{3} T + T + \frac{7}{9} T = 66 → \frac{22}{9} T = 66 → T = 27\)
\(E = \frac{2}{3} T ⇒ E = \frac{2}{3} (27) = 18\)
Eric is 18 years old now.
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
Related to This Article
More math articles
- How to Add and Subtract Polynomials? (+FREE Worksheet!)
- Top 10 Tips You MUST Know to Retake the ATI TEAS Math
- 5th Grade Scantron Math Worksheets: FREE & Printable
- The Ultimate Pre-Algebra Course (+FREE Worksheets)
- Geometry Puzzle – Challenge 63
- Remainder and Factor Theorems
- What Is the Highest Score for SHSAT Test?
- Algebra Puzzle – Challenge 53
- The Ultimate PEAKS Algebra 1 Course (+FREE Worksheets)
- 6th Grade Common Core Math Worksheets: FREE & Printable
What people say about "Algebra Puzzle - Challenge 35"?
No one replied yet.